Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System Simulations
This study focuses on Model Order Reduction (MOR) to optimize such systems' simulation and analysis capabilities in the context of increasingly complex electrical and electronic systems, coupled with computational and processing resource limitations. This paper proposes the Mixed Balanced T...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universitas Indonesia
2025-01-01
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| Series: | International Journal of Technology |
| Subjects: | |
| Online Access: | https://ijtech.eng.ui.ac.id/article/view/7180 |
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| Summary: | This study focuses on Model Order Reduction (MOR)
to optimize such systems' simulation and analysis capabilities in the context
of increasingly complex electrical and electronic systems, coupled with
computational and processing resource limitations. This paper proposes the
Mixed Balanced Truncation (MBT) algorithm, which combines the strengths of
Balanced Truncation (BT) and Positive-Real Balanced Truncation (PRBT) while
addressing their respective limitations. The MBT algorithm is developed based
on Lyapunov and Riccati equations, ensuring the stability and passivity of the
reduced-order system. The proposed method is validated through large-scale
electrical circuit systems, using RLC network models as illustrative examples.
The results demonstrate that MBT achieves effective order reduction with
minimal error while reducing computational costs. The main contributions of this
work in developing the new reduction algorithm include the introduction of a
novel definition of mixed balanced systems and theoretical advancements through
the development of theorems, lemmas, and corollaries accompanied by rigorous
mathematical proofs. This study makes significant theoretical contributions and
provides practical solutions for designing, modeling, and reducing the
complexity of electrical and electronic systems, particularly passive linear
systems in general. |
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| ISSN: | 2086-9614 2087-2100 |